A mixed-FEM and BEM coupling for the approximation of the scattering of thermal waves in locally non-homogeneous media
| dc.contributor.author | Rapún Araiz, María Luisa | |
| dc.contributor.author | Sayas, Francisco Javier | |
| dc.contributor.department | Ingeniería Matemática e Informática | es_ES |
| dc.contributor.department | Matematika eta Informatika Ingeniaritza | eu |
| dc.contributor.funder | Gobierno de Navarra / Nafarroako Gobernua, 18/2005 | es |
| dc.date.accessioned | 2018-11-27T11:22:22Z | |
| dc.date.available | 2018-11-27T11:22:22Z | |
| dc.date.issued | 2006 | |
| dc.description.abstract | This paper proposes and analyzes a BEM-FEM scheme to approximate a time-harmonic diffusion problem in the plane with non-constant coefficients in a bounded area. The model is set as a Helmholtz transmission problem with adsorption and with non-constant coefficients in a bounded domain. We reformulate the problem as a four-field system. For the temperature and the heat flux we use piecewise constant functions and lowest order Raviart-Thomas elements associated to a triangulation approximating the bounded domain. For the boundary unknowns we take spaces of periodic splines. We show how to transmit information from the approximate boundary to the exact one in an efficient way and prove well-posedness of the Galerkin method. Error estimates are provided and experimentally corroborated at the end of the work. | en |
| dc.description.sponsorship | The authors are partially supported by MEC/FEDER Project MTM2004-01905, Gobierno de Aragón (Grupo Consolidado PDIE) and by Gobierno de Navarra Ref. 18/2005. | en |
| dc.format.extent | 26 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | 10.1051/m2an:2006033 | |
| dc.identifier.issn | 0764-583X (Print) | |
| dc.identifier.issn | 1290-3841 (Electronic) | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/31528 | |
| dc.language.iso | eng | en |
| dc.publisher | EDP Sciences | en |
| dc.relation.ispartof | ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 40, No 5, 2006 | en |
| dc.relation.publisherversion | https://doi.org/10.1051/m2an:2006033 | |
| dc.rights | ©EDP Sciences, SMAI 2007 | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | Scattering of thermal waves | en |
| dc.subject | Non-hommogeneous media | en |
| dc.subject | Helmholtz transmission problem | en |
| dc.subject | BEM-FEM coupling | en |
| dc.title | A mixed-FEM and BEM coupling for the approximation of the scattering of thermal waves in locally non-homogeneous media | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/publishedVersion | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 323baae2-a9ab-4a21-bb7a-c754f7b9dc50 | |
| relation.isAuthorOfPublication.latestForDiscovery | 323baae2-a9ab-4a21-bb7a-c754f7b9dc50 |